Math, asked by achyutdeori05, 10 months ago

if x= √3+1÷2,find the value of 4x³+2x²-8x+7.​

Answers

Answered by jude0704
7

Answer:

Step-by-step explanation:

x=(√3+1)/2

=>4[(√3+1)/2]³ + 2[√3+1)/2]² - 8[(√3+1)/2]+7

=>4*(√3+1)³/8 + 2*(√3+1)/4 - 4(√3+1) + 7

=>(√3+1)³/2 +(√3+1)²/2 -4√3 - 4 +7

=>{[3√3+1+3(3)(1)+3(1)(√3)]+[3+1+2√3]}/2 -4√3 + 3

=>[6√3+10+4+2√3-8√3+6]/2

=>[8√3+20-8√3]/2 = 20/2

=.>10

answer is 10

i hope it is helpful

Answered by jeyuva04
0

Answer:

Given x = (√3 +1)/2

4((√3 +1)/2)^3 + 2((√3 +1)/2)^2 − 8((√3 +1)/2) + 7

Now, 4(√3 +1)^3/8 + 2(√3 +1)^2/4 − 8(√3 +1)/2 + 7

=> (√3 +1)^3/2 + (√3 +1)^2/2 − 4(√3 +1) + 7

We know that,(a + b)^n = ∑[k=0,n] C(n,k) * a^(n−k) * b^k

Hence (a + b)^3 = 1a^3 + 3a^2b + 3ab^2 + 1b^3

and (a + b)^2 = 1a^2 + 2ab + 1b^2

=> (3√3 + 9 + 3√3 +1)/2 + (3 + 2√3 +1)/2 − 4(√3 +1) + 7

=> (6√3 + 10)/2 + (2√3 +4)/2 − 4(√3 +1) + 7

=> 3√3 + 5 + √3 + 2 − 4√3 − 4 + 7 = 10

Read more on Brainly.in - https://brainly.in/question/1241918#readmore

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